In this paper we consider the existence of nonzero solutions for the undecoupling elliptic system -Δu = λu + δv + f(u,v), -Δv = θu + γv + g(u,v), on a bounded domain of ℝⁿ, with zero Dirichlet boundary conditions. We use the Lyapunov-Schmidt method and the fixed-point principle. © 2005 Texas State University - San Marcos.

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